Geodesic
On the Global Dimensions of D+M
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 657-660

Voir la notice de l'article provenant de la source Cambridge University Press

This note answers affirmatively a question of the author [4, p. 456], by producing an example of an integrally closed quasi-local non valuation domain of global dimension 3, each of whose overrings is a goingdown ring. Although [4, Proposition 4.5] shows that such an example cannot be constructed by means of restrained power series, an approach via the more general D+M construction succeeds. 
Dobbs, David E. On the Global Dimensions of D+M. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 657-660. doi: 10.4153/CMB-1975-115-3
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